Gravity and the Structure of Noncommutative Algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages

Scientific paper

10.1088/1126-6708/2006/04/054

A gravitational field can be defined in terms of a moving frame, which when made noncommutative yields a preferred basis for a differential calculus. It is conjectured that to a linear perturbation of the commutation relations which define the algebra there corresponds a linear perturbation of the gravitational field. This is shown to be true in the case of a perturbation of Minkowski space-time.

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